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Lyapunov fractal

Known as: Lyapunov, Markus-Lyapunov fractal 
In mathematics, Lyapunov fractals (also known as Markus–Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map… Expand
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Papers overview

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Highly Cited
2006
Highly Cited
2006
In this paper, we present a theoretical framework for design and analysis of distributed flocking algorithms. Two cases of… Expand
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Highly Cited
2005
Highly Cited
2005
  • L. Moreau
  • IEEE Transactions on Automatic Control
  • 2005
  • Corpus ID: 6211634
We study a simple but compelling model of network of agents interacting via time-dependent communication links. The model finds… Expand
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Highly Cited
2004
Highly Cited
2004
In this paper, we discuss consensus problems for networks of dynamic agents with fixed and switching topologies. We analyze three… Expand
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Review
2003
Review
2003
In a recent Physical Review Letters article, Vicsek et al. propose a simple but compelling discrete-time model of n autonomous… Expand
Highly Cited
2000
Highly Cited
2000
Finite-time stability is defined for equilibria of continuous but non-Lipschitzian autonomous systems. Continuity, Lipschitz… Expand
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Highly Cited
1998
Highly Cited
1998
The Nelder--Mead simplex algorithm, first published in 1965, is an enormously popular direct search method for multidimensional… Expand
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Highly Cited
1998
Highly Cited
1998
This paper analyses the stability and fairness of two classes of rate control algorithm for communication networks. The… Expand
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Highly Cited
1998
Highly Cited
1998
  • M. Branicky
  • IEEE Trans. Autom. Control.
  • 1998
  • Corpus ID: 9689676
We introduce some analysis tools for switched and hybrid systems. We first present work on stability analysis. We introduce… Expand
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Highly Cited
1985
Highly Cited
1985
Abstract Basin boundaries for dynamical systems can be either smooth or fractal. This paper investigates fractal basin boundaries… Expand
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Highly Cited
1985
Highly Cited
1985
We present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series… Expand
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